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Finding the Fourth Proportional to 29,572.68, 40,816.98 and 20,145

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Solution

The fourth proportional to 29,572.68, 40,816.98 and 20,145 is: 27,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572.68 : 40,816.98 = 20,145 : x
  2. Step 2: Convert to fraction form
    29,572.68/40,816.98 = 20,145/x
  3. Step 3: Cross multiply
    29,572.68x = 40,816.98 × 20,145
  4. Step 4: Simplify right side
    29,572.68x = 822,258,062.10
  5. Step 5: Solve for x
    x = 822,258,062.10/29,572.68
  6. Step 6: Final answer
    x = 27,804.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.